Analysis and optimal control of nonlocal age- and space-structured SVIR models

Azmi B, Schlosser N (2026)

Publication Type: Journal article

Publication year: 2026

Journal

Journal of Differential Equations Elsevier

Book Volume: 464

Article Number: 114250

DOI: 10.1016/j.jde.2026.114250

Abstract

We study a class of nonlinear PDE systems for age- and space-structured SVIR (susceptible–vaccinated–infected–recovered) epidemic models with nonlocal transmission effects. The system couples transport in the age variable with spatial diffusion and incorporates nonlocal infection terms through integral operators. The formulation includes an implicit birth law at the initial age. We establish well-posedness of the model, formulate an optimal control problem for vaccination strategies, and prove the existence of optimal controls together with first-order necessary optimality conditions. Numerical simulations illustrate the qualitative properties of optimal solutions. The results provide a rigorous framework for analyzing optimal control problems in nonlinear, nonlocal SVIR-type epidemic PDE systems with structured variables.

Authors with CRIS profile

Nicolas Schlosser Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Universität Konstanz DE Germany (DE)

How to cite

APA:

Azmi, B., & Schlosser, N. (2026). Analysis and optimal control of nonlocal age- and space-structured SVIR models. Journal of Differential Equations, 464. https://doi.org/10.1016/j.jde.2026.114250

MLA:

Azmi, Behzad, and Nicolas Schlosser. "Analysis and optimal control of nonlocal age- and space-structured SVIR models." Journal of Differential Equations 464 (2026).

BibTeX: Download